A) 1.5 \[m\text{/}{{s}^{2}}\]
B) 1.8 \[m\text{/}{{s}^{2}}\]
C) 2.2 \[m\text{/}{{s}^{2}}\]
D) 2.5 \[m\text{/}{{s}^{2}}\]
E) None of these
Correct Answer: B
Solution :
Acceleration, \[a=\left( \frac{{{m}_{2}}-{{m}_{1}}}{{{m}_{2}}+{{m}_{1}}} \right)g\] \[\Rightarrow \] \[a=\left( \frac{{{W}_{2}}-{{W}_{1}}}{{{W}_{2}}+{{W}_{1}}} \right)g\] \[=\left( \frac{290-200}{290+200} \right)\times 9.8\] \[\Rightarrow \] \[a=\frac{90\times 9.8}{490}\] \[\Rightarrow \] \[a=1.8\,m\text{/}{{s}^{2}}\]
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